Information on Result #613205

Linear OA(4125, 256, F4, 45) (dual of [256, 131, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4129, 260, F4, 46) (dual of [260, 131, 47]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4126, 261, F4, 45) (dual of [261, 135, 46]-code) [i]✔
3Linear OA(4134, 265, F4, 47) (dual of [265, 131, 48]-code) [i]✔
4Linear OA(4126, 265, F4, 44) (dual of [265, 139, 45]-code) [i]✔
5Linear OA(4128, 267, F4, 45) (dual of [267, 139, 46]-code) [i]✔
6Linear OA(4144, 272, F4, 51) (dual of [272, 128, 52]-code) [i]✔
7Linear OA(4145, 274, F4, 51) (dual of [274, 129, 52]-code) [i]✔
8Linear OA(4146, 277, F4, 51) (dual of [277, 131, 52]-code) [i]✔
9Linear OA(4143, 274, F4, 50) (dual of [274, 131, 51]-code) [i]✔
10Linear OA(4141, 272, F4, 49) (dual of [272, 131, 50]-code) [i]✔
11Linear OA(4129, 272, F4, 45) (dual of [272, 143, 46]-code) [i]✔
12Linear OA(4150, 281, F4, 53) (dual of [281, 131, 54]-code) [i]✔
13Linear OA(4134, 280, F4, 45) (dual of [280, 146, 46]-code) [i]✔
14Linear OA(4135, 282, F4, 45) (dual of [282, 147, 46]-code) [i]✔
15Linear OA(4131, 277, F4, 44) (dual of [277, 146, 45]-code) [i]✔
16Linear OA(4132, 279, F4, 44) (dual of [279, 147, 45]-code) [i]✔
17Linear OA(4137, 288, F4, 45) (dual of [288, 151, 46]-code) [i]✔
18Linear OA(4135, 286, F4, 44) (dual of [286, 151, 45]-code) [i]✔
19Linear OA(4138, 290, F4, 45) (dual of [290, 152, 46]-code) [i]✔
20Linear OA(4139, 293, F4, 45) (dual of [293, 154, 46]-code) [i]✔
21Linear OA(4140, 295, F4, 45) (dual of [295, 155, 46]-code) [i]✔
22Linear OA(4137, 290, F4, 44) (dual of [290, 153, 45]-code) [i]✔
23Linear OA(4138, 293, F4, 44) (dual of [293, 155, 45]-code) [i]✔
24Linear OA(4144, 275, F4, 51) (dual of [275, 131, 52]-code) [i]✔
25Linear OA(4142, 270, F4, 50) (dual of [270, 128, 51]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
26Linear OA(4139, 267, F4, 48) (dual of [267, 128, 49]-code) [i]✔
27Linear OA(4146, 279, F4, 50) (dual of [279, 133, 51]-code) [i]✔
28Linear OA(4145, 277, F4, 50) (dual of [277, 132, 51]-code) [i]✔
29Linear OA(4143, 275, F4, 49) (dual of [275, 132, 50]-code) [i]✔
30Linear OA(4136, 268, F4, 47) (dual of [268, 132, 48]-code) [i]✔
31Linear OA(4131, 263, F4, 46) (dual of [263, 132, 47]-code) [i]✔
32Linear OA(4127, 263, F4, 45) (dual of [263, 136, 46]-code) [i]✔
33Linear OA(4127, 267, F4, 44) (dual of [267, 140, 45]-code) [i]✔
34Linear OA(4133, 278, F4, 45) (dual of [278, 145, 46]-code) [i]✔
35Linear OA(4131, 275, F4, 45) (dual of [275, 144, 46]-code) [i]✔
36Linear OA(4134, 283, F4, 44) (dual of [283, 149, 45]-code) [i]✔
37Linear OA(4136, 284, F4, 45) (dual of [284, 148, 46]-code) [i]✔
38Linear OA(4133, 281, F4, 44) (dual of [281, 148, 45]-code) [i]✔
39Linear OA(4136, 288, F4, 44) (dual of [288, 152, 45]-code) [i]✔
40Linear OA(4148, 277, F4, 52) (dual of [277, 129, 53]-code) [i]✔
41Linear OA(4146, 278, F4, 51) (dual of [278, 132, 52]-code) [i]✔
42Linear OOA(4125, 128, F4, 2, 45) (dual of [(128, 2), 131, 46]-NRT-code) [i]OOA Folding